At 5 a.m., Mark and Perry left Park X and drove towards Park Y at average speeds of 73 km/h and 62 km/h respectively. Upon reaching Park Y, Mark rested for 3 hours. He then headed back for Park X at an average speed of 73 km/h along the same route. Mark and Perry met each other on their way at 2 p.m.
- How far had Mark covered when he met Perry on the way?
- How far apart were the two parks?
(a)
Time taken by Perry = 9 h
Time taken by Mark = 9 - 3 = 6 h
Distance covered by Mark when he met Perry
= 6 x 73
= 438 km
(b)
Distance travelled by Perry
= 9 x 62
= 558 km
Distance of the two parks
= (438 + 558) ÷ 2
= 996 ÷ 2
= 498 km
Answer(s): (a) 438 km; (b) 498 km